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4112500 = 2255747
BaseRepresentation
bin1111101100000001110100
321201221021211
433230001310
52023100000
6224051204
746645540
oct17540164
97657254
104112500
112359867
121463b04
13b0cb42
14790a20
155637ba
hex3ec074

4112500 has 72 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1380000.

The previous prime is 4112497. The next prime is 4112539. The reversal of 4112500 is 52114.

4112500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87477 + ... + 87523.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 24112500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4112500 is an abundant number, since it is smaller than the sum of its proper divisors (6386828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4112500 is an equidigital number, since it uses as much as digits as its factorization.

4112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 4112500 is about 2027.9299790673. The cubic root of 4112500 is about 160.2145559074.

Adding to 4112500 its reverse (52114), we get a palindrome (4164614).

The spelling of 4112500 in words is "four million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 125 140 175 188 235 250 329 350 470 500 625 658 700 875 940 1175 1250 1316 1645 1750 2350 2500 3125 3290 3500 4375 4700 5875 6250 6580 8225 8750 11750 12500 16450 17500 21875 23500 29375 32900 41125 43750 58750 82250 87500 117500 146875 164500 205625 293750 411250 587500 822500 1028125 2056250 4112500